Quantum Phases from Competing Van der Waals and Dipole-Dipole Interactions of Rydberg Atoms

Abstract

Competing short- and long-range interactions represent distinguished ingredients for the formation of complex quantum many-body phases. Their study is hard to realize with conventional quantum simulators. In this regard, Rydberg atoms provide an exception as their excited manifold of states have both density-density and exchange interactions whose strength and range can vary considerably. Focusing on one-dimensional systems, we leverage the van der Waals and dipole-dipole interactions of the Rydberg atoms to obtain the zero-temperature phase diagram for a uniform chain and a dimer model. For the uniform chain, we can influence the boundaries between ordered phases and a Luttinger liquid phase. For the dimerized case, a new type of bond-order-density-wave phase is identified. This demonstrates the versatility of the Rydberg platform in studying physics involving short- and long-ranged interactions simultaneously.

6+6 pages, 3+3 figures

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• Continuously varying critical exponents in an exactly solvable long-range cluster XY mode
• Topological order in symmetric blockade structures
• Phase diagram of Rydberg atoms in a two-leg rectangular ladder
• Variational approach to open quantum systems with long-range competing interactions
• Engineering the non-Hermitian Su-Schrieffer-Heeger model with skin effects in Rydberg atom arrays
• Quantum criticality and factorization in a constrained Rydberg spin chain